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Finding the Fourth Proportional to 207,295.78, 286,052.49 and 122,396.50

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Solution

The fourth proportional to 207,295.78, 286,052.49 and 122,396.50 is: 168,897.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,295.78 : 286,052.49 = 122,396.50 : x
  2. Step 2: Convert to fraction form
    207,295.78/286,052.49 = 122,396.50/x
  3. Step 3: Cross multiply
    207,295.78x = 286,052.49 × 122,396.50
  4. Step 4: Simplify right side
    207,295.78x = 35,011,823,592.29
  5. Step 5: Solve for x
    x = 35,011,823,592.29/207,295.78
  6. Step 6: Final answer
    x = 168,897.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.